Respuesta :

Answer:

(D)15

Explanation:

Given a set A, a proper subset of A is any subset of A that is not equal to A.

If a set has n elements, the total number of subsets of the set will be:

[tex]2^n[/tex]

In the given set:

[tex]\begin{gathered} L=\left\{ \operatorname{mm},cm,m,\operatorname{km}\right\} \\ n=4 \\ \text{Number of Subsets=}2^4=16 \end{gathered}[/tex]

Therefore, the number of proper subsets of the given set will be:

[tex]\begin{gathered} =16-1 \\ =15 \end{gathered}[/tex]